Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: To which are Added, Elements of Plane and Spherical TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 92
Pagina 4
... wherefore CA , AB , CB , are equal to one another ; and the triangle ABC is therefore equilateral , and it is described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a ...
... wherefore CA , AB , CB , are equal to one another ; and the triangle ABC is therefore equilateral , and it is described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a ...
Pagina 5
... wherefore , AL and BC are each of them equal to BG ; and things that are equal to the same thing are equal to one another ; therefore the straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been ...
... wherefore , AL and BC are each of them equal to BG ; and things that are equal to the same thing are equal to one another ; therefore the straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been ...
Pagina 6
... wherefore the base BC must coincide with the base EF ( Cor . Def . 3 ) , and be equal to it . Therefore also , the whole triangle ABC must coincide with the whole triangle DEF , so that the spaces which they contain , or their areas ...
... wherefore the base BC must coincide with the base EF ( Cor . Def . 3 ) , and be equal to it . Therefore also , the whole triangle ABC must coincide with the whole triangle DEF , so that the spaces which they contain , or their areas ...
Pagina 7
... Wherefore , if two angles , & c . Q. E. D. COR . Hence , every equiangular triangle is also equilateral . PROP . VII . THEOR . C Upon the same base , and on the same side of it , there cannot be two triangles that have their sides which ...
... Wherefore , if two angles , & c . Q. E. D. COR . Hence , every equiangular triangle is also equilateral . PROP . VII . THEOR . C Upon the same base , and on the same side of it , there cannot be two triangles that have their sides which ...
Pagina 8
... wherefore the angle FDC is likewise greater than BCD ; much more than is the angle BDC greater B than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal ( 1. 5 ) to the angle BCD ; but BDC has been proved to be ...
... wherefore the angle FDC is likewise greater than BCD ; much more than is the angle BDC greater B than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal ( 1. 5 ) to the angle BCD ; but BDC has been proved to be ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore